A. First move all to the left side of the equation(Normal form)
x^3 - 49x= 0
B. Factor out an x, which is the GCF (Factored form)
x(x^2 - 49) = 0
C. Find solutions by making each x piece equal to 0. The first part is just x=0 and the second part is just factoring the difference of squares and then solving.
x=0, x^2 - 49 =0
x=0, x + 7 = 0, x - 7 = 0
Therefore, the answers for Part C are:
x = 0, x = -7, x = 7
Distribute
-2(x+6)+3
-2x-12+3
-2x-12+3=-11x+4(x+4)
Distribute
4(x+4)
4x+16
-2x-12+3=-11x+4x+16
Combine Numbers && Variables
-2x-9=-7x+16
Add The 7 Over To The -2x
5x-9=16
Add 9 Over To 16
5x=25
x=5
So 5 Is Your Answer
~Hope This Helps :)
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Answer:10
Step-by-step explanation:
if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15
DE is parallel to BC since D is the midpoint of
AB and E is the midpoint of AC.
<span>
Thus, DE and BC have the same slope (0.5) and basing on the formula for
midpoint, the length of DE would be the equal half of BC and is equal to 1.6
units</span>
The slope and length of DE, if the slope and
length of BC are 0.5 and 3.2 units, respectively are 0.5 and 1.6
respectively.
I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.
Answer:
63 m
Step-by-step explanation:
We are given the following in the question:
Average speed of swimming = 45 m/min
Time = 1 minute 24 seconds
Converting time into minutes:
Formula:
Putting values, we get.
Thus, Alex swims for 63 m in 1 minute and 24 seconds.
